with the pythagorean theorem
using the formula of the quadratic equation
the length cannot be negative, therefore x=7
length of the shorter leg is: 7ft
length of the longer leg is: 3+3(7)= 24ft
length of the hypotenuse is: 4+3(7)= 25ft
The sum of 7-1 and 7-2 will be a rational number because sum of rational numbers is a rational numbers.
A rational number is a number which can be written in p/q form where q≠0.
We know that when two rational numbers is added then the sum is also a rational number. And when two rational numbers are subtracted then the difference is also a rational number.
So in the given question, lets study the term differently that is,
i) 7 - 1 is a rational number because their difference is equal to 6 and it can be written in p/q form which is 6/1.
ii) 7 – 2 is also a rational number as their difference will be 5 which is a rational and can be written in p/q form which is 5/1.
So when these two rational numbers are added their sum will also be a rational number which is 11.
Learn more about rational numbers here : brainly.com/question/12088221
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Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
Answer:
The answer is the third picture
Step-by-step explanation:
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107
